613626413146344 has 144 divisors (see below), whose sum is σ = 1802032573037580. Its totient is φ = 188550541670400.

The previous prime is 613626413146343. The next prime is 613626413146457. The reversal of 613626413146344 is 443641314626316.

613626413146344 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 2 + 6 + 4 + 131 + 463 + 44 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 323637869243844 + 289988543902500 = 17989938^2 + 17029050^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (613626413146343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25480257 + ... + 43318544.

Almost surely, 2^{613626413146344} is an apocalyptic number.

It is an amenable number.

613626413146344 is an abundant number, since it is smaller than the sum of its proper divisors (1188406159891236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

613626413146344 is a wasteful number, since it uses less digits than its factorization.

613626413146344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68799572 (or 68799552 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 613626413146344 in words is "six hundred thirteen trillion, six hundred twenty-six billion, four hundred thirteen million, one hundred forty-six thousand, three hundred forty-four".